Geodesic
On the dependence of the Bergman function on deformations of the Hartogs domain
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 287-300 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.
DOI : 10.4064/ap-55-1-287-300

Zbigniew Pasternak-Winiarski 1

1 
@article{10_4064_ap_55_1_287_300,
     author = {Zbigniew Pasternak-Winiarski},
     title = {On the dependence of the {Bergman} function on deformations of the {Hartogs} domain},
     journal = {Annales Polonici Mathematici},
     pages = {287--300},
     year = {1991},
     volume = {55},
     number = {1},
     doi = {10.4064/ap-55-1-287-300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-287-300/}
}
TY  - JOUR
AU  - Zbigniew Pasternak-Winiarski
TI  - On the dependence of the Bergman function on deformations of the Hartogs domain
JO  - Annales Polonici Mathematici
PY  - 1991
SP  - 287
EP  - 300
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-287-300/
DO  - 10.4064/ap-55-1-287-300
LA  - en
ID  - 10_4064_ap_55_1_287_300
ER  - 
%0 Journal Article
%A Zbigniew Pasternak-Winiarski
%T On the dependence of the Bergman function on deformations of the Hartogs domain
%J Annales Polonici Mathematici
%D 1991
%P 287-300
%V 55
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-287-300/
%R 10.4064/ap-55-1-287-300
%G en
%F 10_4064_ap_55_1_287_300
Zbigniew Pasternak-Winiarski. On the dependence of the Bergman function on deformations of the Hartogs domain. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 287-300. doi: 10.4064/ap-55-1-287-300

Cité par Sources :